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Reil [10]
3 years ago
8

An arts academy requires there to be 4 teachers for every 84 students and 3 tutors for every 30 students. How many students does

the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 110 students​?
Mathematics
1 answer:
Sonja [21]3 years ago
6 0

Answer:

21 students per teacher

10 students per tutor

10 tutors needed for 110 students

Step-by-step explanation:

84 ÷4=21

30÷3=10

110÷10=10

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kolbaska11 [484]
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3 years ago
What is the factored form of 2x2 + x-3?
Vesnalui [34]

Answer:

Step-by-step explanation:

a = 2, b = 1, c = -3

We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.

a * c = 6  and the factors of 6 and 1 and 6, 2 and 3.  Well, 6 - 1 doesn't equal 1 and neither does 6 + 1.  So our factors are 3 and 2.  In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1.  That means that 3 is positive and 2 is negative.  Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):

2x^2+3x-2x-3=0

Group the first 2 terms together and the second 2 term together in order to factor:

(2x^2+3x)-(2x-3)=0 and factor out what's common in each set of parenthesis.

x(2x+3)-1(2x+3)=0

Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with.  We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same.  Ours are identical: (2x + 3).  That is common now, and can be factored out:

(2x+3)(x-1)=0

That matches your first choice

6 0
3 years ago
For any that has the link to the answer for this worksheet or for any one whom would like to answer this question. If you do dec
zhuklara [117]

Answer:

Step-by-step explanation:

3 0
3 years ago
Richie says that 2.141441444... is a rational number. Elsa disagrees. Who is correct? What may have been the error of who was wr
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Answer:

Elsa is correct.

Step-by-step explanation:

The number is irrational, for it is not a terminated decimal, which means that the decimal cannot be made into a fraction.

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3 years ago
I will give brainliest and thanks
podryga [215]

Answer:

The correct answers are a, c and d

Step-by-step explanation:

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